Complex analysis in Banach spaces constitutes a robust framework in which classical methods of complex function theory are generalised to infinite dimensions. This field explores holomorphic functions ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

“You don’t have to believe in God, but you have to believe in The Book,” the Hungarian mathematician Paul Erdős once said. The Book, which only exists in theory, contains the most elegant proofs of ...